c. Calculate the expected number of days in December that the temperature will be greater than 40°F. d. On a randomly selected day in December, the probability that the temperature is above k°C is 0.25. Find the value of k. e. Find the probability that exactly twenty-nine days in December will be greater than 40°C. f. Find the probability that at most twenty-nine days in December will be less than 40°C.

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Chapter1: Combinatorial Analysis
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Subpart D,E,F

The daily temperature in Lakewood during the month of December is normally distributed with a mean of 46°F and a
standard deviation of 4°F.
a. On the following diagram, shade the region
representing the probability that a random day in Lakewood
is greater than 40°F.
b. Calculate the probability that the temperature on a
randomly chosen day in December is greater than 40°F.
c. Calculate the expected number of days in December
that the temperature will be greater than 40°F.
d. On a randomly selected day in December, the
probability that the temperature is above k°C is 0.25. Find
the value of k.
e. Find the probability that exactly twenty-nine days in
December will be greater than 40°C.
f. Find the probability that at most twenty-nine days in
December will be less than 40°C.
Transcribed Image Text:The daily temperature in Lakewood during the month of December is normally distributed with a mean of 46°F and a standard deviation of 4°F. a. On the following diagram, shade the region representing the probability that a random day in Lakewood is greater than 40°F. b. Calculate the probability that the temperature on a randomly chosen day in December is greater than 40°F. c. Calculate the expected number of days in December that the temperature will be greater than 40°F. d. On a randomly selected day in December, the probability that the temperature is above k°C is 0.25. Find the value of k. e. Find the probability that exactly twenty-nine days in December will be greater than 40°C. f. Find the probability that at most twenty-nine days in December will be less than 40°C.
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